Whakaoti i te 1/2+1/3-1/4|+|1/3+frac{1}{2}-1|

$$\frac { 1 } { 2 } + \frac { 1 } { 3 } - \frac { 1 } { 4 } | + | \frac { 1 } { 3 } + \frac { 1 } { 2 } - 1 |$$

Aromātai

$$\frac{19}{24}\approx 0.791666667$$

Ngā Upane Otinga

Ko te maha noa iti rawa atu o 2 me 3 ko 6. Me tahuri \frac{1}{2} me \frac{1}{3} ki te hautau me te tautūnga 6.

$$\frac{3}{6}+\frac{2}{6}-\frac{1}{4}||\frac{1}{3}+\frac{1}{2}-1||$$

Tā te mea he rite te tauraro o \frac{3}{6} me \frac{2}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{3+2}{6}-\frac{1}{4}||\frac{1}{3}+\frac{1}{2}-1||$$

Tāpirihia te 3 ki te 2, ka 5.

$$\frac{5}{6}-\frac{1}{4}||\frac{1}{3}+\frac{1}{2}-1||$$

Ko te maha noa iti rawa atu o 3 me 2 ko 6. Me tahuri \frac{1}{3} me \frac{1}{2} ki te hautau me te tautūnga 6.

$$\frac{5}{6}-\frac{1}{4}||\frac{2}{6}+\frac{3}{6}-1||$$

Tā te mea he rite te tauraro o \frac{2}{6} me \frac{3}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5}{6}-\frac{1}{4}||\frac{2+3}{6}-1||$$

Tāpirihia te 2 ki te 3, ka 5.

$$\frac{5}{6}-\frac{1}{4}||\frac{5}{6}-1||$$

Me tahuri te 1 ki te hautau \frac{6}{6}.

$$\frac{5}{6}-\frac{1}{4}||\frac{5}{6}-\frac{6}{6}||$$

Tā te mea he rite te tauraro o \frac{5}{6} me \frac{6}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{5}{6}-\frac{1}{4}||\frac{5-6}{6}||$$

Tangohia te 6 i te 5, ka -1.

$$\frac{5}{6}-\frac{1}{4}||-\frac{1}{6}||$$

Ko te uara pū o tētahi tau tūturu a ko a ina a\geq 0, ko -a rānei ina a<0. Ko te uara pū o -\frac{1}{6} ko \frac{1}{6}.

$$\frac{5}{6}-\frac{1}{4}|\frac{1}{6}|$$

Ko te uara pū o tētahi tau tūturu a ko a ina a\geq 0, ko -a rānei ina a<0. Ko te uara pū o \frac{1}{6} ko \frac{1}{6}.

$$\frac{5}{6}-\frac{1}{4}\times \frac{1}{6}$$

Me whakarea te \frac{1}{4} ki te \frac{1}{6} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{5}{6}-\frac{1\times 1}{4\times 6}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 1}{4\times 6}.

$$\frac{5}{6}-\frac{1}{24}$$

Ko te maha noa iti rawa atu o 6 me 24 ko 24. Me tahuri \frac{5}{6} me \frac{1}{24} ki te hautau me te tautūnga 24.

$$\frac{20}{24}-\frac{1}{24}$$

Tā te mea he rite te tauraro o \frac{20}{24} me \frac{1}{24}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{20-1}{24}$$

Tangohia te 1 i te 20, ka 19.

$$\frac{19}{24}$$

Tauwehe

$$\frac{19}{2 ^ {3} \cdot 3} = 0.7916666666666666$$